Representation of solutions for fractional kinetic equations with deviation time variable

Ya. M. Drin; V. A. Ushenko; I. I. Drin; S. S. Drin

doi:10.1117/12.2554987

6 February 2020 Representation of solutions for fractional kinetic equations with deviation time variable

Ya. M. Drin, V. A. Ushenko, I. I. Drin, S. S. Drin

Proceedings Volume 11369, Fourteenth International Conference on Correlation Optics; 113690Q (2020) https://doi.org/10.1117/12.2554987
Event: Fourteenth International Conference on Correlation Optics, 2019, Chernivtsi, Ukraine

Abstract

We present a formula for classical solutions for time- and space-fractional kinetic equation (also known as fractional diffusion equation) and deviation time variable is given in terms of the Fox’s H-function, using the step by step method. This equations describe fractal properties of real data arising in applied fields such as turbulence, hydrology, ecology, geographic, air pollution, economics and finance.

Citation Download Citation

Ya. M. Drin, V. A. Ushenko, I. I. Drin, and S. S. Drin "Representation of solutions for fractional kinetic equations with deviation time variable", Proc. SPIE 11369, Fourteenth International Conference on Correlation Optics, 113690Q (6 February 2020); https://doi.org/10.1117/12.2554987

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